I found two in Will/Probate that I thought was him and son but dates are different (this profile says he died 1823 and shows a census for 1820)---
Here are the two I found:
Roderick "Roddy" Jenkins, Sr
Roderick Jinkins in the Tennessee, U.S., Wills and Probate Records, 1779-2008
Name Roderick Jinkins
Probate Date 1 Apr 1799
Probate Place Sumner, Tennessee, USA
Inferred Death Year 1799
Inferred Death Place Tennessee, USA
Item Description Executors Bonds and Letters, 1796-1926
Individuals Listed (Name)
Roderick Jinkins
* https://www.ancestry.com/sharing/9540925?mark=7b22746f6b656e223a225...
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Roderick "Roddy" Jenkins, Jr.
Rodrick Jinkins Jenkins in the Tennessee, U.S., Wills and Probate Records, 1779-2008
Name Rodrick Jinkins Jenkins
Probate Date 22 Oct 1822
Probate Place Smith, Tennessee, USA
Inferred Death Year 1822
Inferred Death Place Tennessee, USA
Item Number 5
Item Description Will Records, Vol 1-3, 7-8, 1803-1896
Individuals Listed (Name)
Rodrick Jinkins Jenkins
* https://www.ancestry.com/sharing/9540946?mark=7b22746f6b656e223a227...
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